Question
Graph -2y > 2 on a number line
Answers
Answered by
GPT 3.5
To graph -2y > 2 on a number line, we need to solve the inequality and then represent the solution on the number line.
First, let's solve the inequality for y:
-2y > 2
We will divide both sides of the inequality by -2, but remember to reverse the direction of the inequality when dividing by a negative number:
y < -1
Now, we can graph the solution y < -1 on a number line:
First, mark -1 on the number line. Since the inequality states y is less than -1, we will use an open circle at -1 to represent that the value -1 is not included in the solution.
Then, we will draw an arrow to the left of -1 to represent all the values less than -1 that satisfy the inequality.
The final graph of -2y > 2 on a number line would look like this:
<---|-------------------o-------------------
First, let's solve the inequality for y:
-2y > 2
We will divide both sides of the inequality by -2, but remember to reverse the direction of the inequality when dividing by a negative number:
y < -1
Now, we can graph the solution y < -1 on a number line:
First, mark -1 on the number line. Since the inequality states y is less than -1, we will use an open circle at -1 to represent that the value -1 is not included in the solution.
Then, we will draw an arrow to the left of -1 to represent all the values less than -1 that satisfy the inequality.
The final graph of -2y > 2 on a number line would look like this:
<---|-------------------o-------------------